Sub-diffusive regimes for long range self-interacting path measures
Probability
2025-11-13 v1 Mathematical Physics
math.MP
Abstract
We study Brownian motion perturbed by a long range self-interaction. We provide variance bounds in terms of the spatial interaction strength and the order of time decay.
Keywords
Cite
@article{arxiv.2511.09472,
title = {Sub-diffusive regimes for long range self-interacting path measures},
author = {Volker Betz and Tobias Schmidt and Mark Sellke},
journal= {arXiv preprint arXiv:2511.09472},
year = {2025}
}
Comments
35 pages